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Finding the Fourth Proportional to 6,883.92, 9,477 and 5,309.28

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Solution

The fourth proportional to 6,883.92, 9,477 and 5,309.28 is: 7,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.92 : 9,477 = 5,309.28 : x
  2. Step 2: Convert to fraction form
    6,883.92/9,477 = 5,309.28/x
  3. Step 3: Cross multiply
    6,883.92x = 9,477 × 5,309.28
  4. Step 4: Simplify right side
    6,883.92x = 50,316,046.56
  5. Step 5: Solve for x
    x = 50,316,046.56/6,883.92
  6. Step 6: Final answer
    x = 7,309.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.